It is obvious that if \(A\)  is a cylinder of rank \(n\) , then \(\lambda (A) \le \frac{1}{\beta ^n}\) . In [1]}, Rényi showed that number of cylinders of rank \(n\)  is less than or equal to \(\frac{\beta }{\beta -1} \beta ^n\) . Then,
\( \lambda \lbrace x: x \in A \text{ for some cylinder } A \text{ of rank } n \text{ such that } \lambda (A) < \beta ^{-n} e^{- \epsilon n} \rbrace  \le \frac{\beta }{\beta -1} e^{- \epsilon n}.\) 
